Download MATH 162-02 Review Problems for EXAM I

MATH 162-02
Feb. 4, 2002
Review Problems for EXAM I
1. Find the measures of two angles, one positive and one negative, that are coterminal
with the given angle.
a. 80o
b. 512o
c. 147 o
2. Sketch each angle in standard position and find the angle of smallest positive measure
coterminal with each angle.
a. 1000o
b. 1000o
3. Convert the angle measure 34o51'35" to decimal degree.
4. Convert the angle measure 102.3771o to degrees, minutes, and seconds.
5. If (5, 9) is a point on the terminal side of an angle  in standard position, find the six
trigonometric function values of the angle.
6. The terminal side of an angle  in standard position is on the line with equation
2 x  5 y  0 and  is in quadrant III, find the six trigonometric function values of the
angle.
7. Identify the quadrant that contains the terminal side of the angle satisfying sin A  0
and cos A  0 .
8. Decide whether the following is possible or impossible.
a. sin   2
b. csc  10
c. tan   1000
d. sin   cos
2
2
e. sin A  cos A  0.5
9. If the angle A is in quadrant III and tan A  95 , find the other trigonometric function
values.
10. Consider a right triangle in standard notation. If a  5 and c  9 , find the
trigonometric function values of the angle A.
11. Write each expression in terms of its cofunction of an acute angle.
a. sin 42o
b. cot(   20o )
12. Find the exact values of the six trigonometric function values for each angle.
a. 120o
b. 330o
c. 225o
13. Find a solution to each equation.
a. sin   cos
b. sec(a  10o )  csc(a  20o )
14. Calculate each function values.
a. sin 40o15'
b. tan(450o 21')
c. sec150o 49 '
15. Find an acute angle  satisfying each.
a. cos  0.5321
b. tan  5.3124